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<div class="title">Referência do Arquivo vetor.hpp</div>  </div>
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<p>Definição da classe vetor e de algumas funções e operadores relacionados à algebra vetorial.  
<a href="#details">Mais...</a></p>
<div class="textblock"><code>#include &lt;valarray&gt;</code><br/>
<code>#include &quot;<a class="el" href="">matriz.hpp</a>&quot;</code><br/>
</div>
<p><a href="">Vá para o código-fonte deste arquivo.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Componentes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classvetor.html">vetor</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Classe para operações vetoriais diversas.  <a href="classvetor.html#details">Mais...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="define-members"></a>
Definições e Macros</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#ad8038912ca53f3415505004c16fa4a6d">scout</a>&#160;&#160;&#160;cout &lt;&lt; scientific</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Facilita a impressão de dados no formato científico.  <a href="#ad8038912ca53f3415505004c16fa4a6d"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="func-members"></a>
Funções</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#aa7190823e6e669b2c27c9bf9765cec88">zero</a> (int, bool)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna um vetor nulo de dimensão k: \( 0_k \).  <a href="#aa7190823e6e669b2c27c9bf9765cec88"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a6a4e0f27a5b799ef1cd48281e1e464d6">operator*</a> (double, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto entre uma constante e um vetor: \( k v \).  <a href="#a6a4e0f27a5b799ef1cd48281e1e464d6"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a6411facc60ec95de40b8047c7f4cbafa">operator*</a> (<a class="el" href="classvetor.html">vetor</a>, double)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto entre um vetor e uma constante: \( v k \).  <a href="#a6411facc60ec95de40b8047c7f4cbafa"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a4d02f31155297e6536d2c2b76f2ee0e8">operator^</a> (<a class="el" href="classvetor.html">vetor</a>, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto interno entre dois vetores: \( a \dot b \).  <a href="#a4d02f31155297e6536d2c2b76f2ee0e8"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#afdd318c5b77a88b56b89cb5bc2927967">operator*</a> (<a class="el" href="classvetor.html">vetor</a>, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto vetorial entre dois vetores: \( a \times b \).  <a href="#afdd318c5b77a88b56b89cb5bc2927967"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a398a8c21fff93248b4692971003cde64">operator+</a> (<a class="el" href="classvetor.html">vetor</a>, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna a soma entre dois vetores: \( a + b \).  <a href="#a398a8c21fff93248b4692971003cde64"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a64b4db35963e0531e6b208a4d9b52172">operator-</a> (<a class="el" href="classvetor.html">vetor</a>, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna a subtração entre dois vetores: \( a - b \).  <a href="#a64b4db35963e0531e6b208a4d9b52172"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a41dc5b5ce1ea1d4105a9ef5f22a64bd9">operator*</a> (<a class="el" href="classvetor.html">vetor</a>, <a class="el" href="classmatriz.html">matriz</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto entre um vetor e uma matriz: \( v M \).  <a href="#a41dc5b5ce1ea1d4105a9ef5f22a64bd9"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvetor.html">vetor</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a9f97e45f1e8b21699425ff5024df468b">operator*</a> (<a class="el" href="classmatriz.html">matriz</a>, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Retorna o produto entre uma matriz e um vetor: \( M v \).  <a href="#a9f97e45f1e8b21699425ff5024df468b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="vetor_8hpp.html#a17bb3c0e53dc4ed62d1db317daf5e6cb">operator&lt;&lt;</a> (ostream &amp;, <a class="el" href="classvetor.html">vetor</a>)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Imprime os elementos do vetor numa linha, utilizado apenas p/ saídas em arquivo.  <a href="#a17bb3c0e53dc4ed62d1db317daf5e6cb"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Descrição Detalhada</h2>
<div class="textblock"><p>Definição da classe vetor e de algumas funções e operadores relacionados à algebra vetorial. </p>
<dl class="author"><dt><b>Autor:</b></dt><dd>Geraldo Francisco de S. Rebouças | <a href="mailto:gfs.reboucas@gmail.com">gfs.reboucas@gmail.com</a> </dd></dl>
<dl class="since"><dt><b>Desde:</b></dt><dd>28/11/2012 </dd></dl>
<dl class="version"><dt><b>Versão:</b></dt><dd>1.0 </dd></dl>
<dl class="date"><dt><b>Data:</b></dt><dd>02/12/2012 </dd></dl>
<dl class="see"><dt><b>Veja também:</b></dt><dd>Veja [Matrix Computations] e [Applied Linear Algebra] para entender a teoria relacionada à implementação desta classe. </dd></dl>

<p>Definição no arquivo <a class="el" href="">vetor.hpp</a>.</p>
</div><hr/><h2>Definições e macros</h2>
<a class="anchor" id="ad8038912ca53f3415505004c16fa4a6d"></a><!-- doxytag: member="vetor.hpp::scout" ref="ad8038912ca53f3415505004c16fa4a6d" args="" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define <a class="el" href="vetor_8hpp.html#ad8038912ca53f3415505004c16fa4a6d">scout</a>&#160;&#160;&#160;cout &lt;&lt; scientific</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Facilita a impressão de dados no formato científico. </p>

<p>Definição na linha <a class="el" href="#L16">16</a> do arquivo <a class="el" href="">vetor.hpp</a>.</p>

</div>
</div>
<hr/><h2>Funções</h2>
<a class="anchor" id="a6a4e0f27a5b799ef1cd48281e1e464d6"></a><!-- doxytag: member="vetor.hpp::operator*" ref="a6a4e0f27a5b799ef1cd48281e1e464d6" args="(double, vetor)" -->
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator* </td>
          <td>(</td>
          <td class="paramtype">double&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Retorna o produto entre uma constante e um vetor: \( k v \). </p>

<p>Definição na linha <a class="el" href="#L133">133</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a6411facc60ec95de40b8047c7f4cbafa"></a><!-- doxytag: member="vetor.hpp::operator*" ref="a6411facc60ec95de40b8047c7f4cbafa" args="(vetor, double)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator* </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">double&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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</div>
<div class="memdoc">

<p>Retorna o produto entre um vetor e uma constante: \( v k \). </p>

<p>Definição na linha <a class="el" href="#L143">143</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="afdd318c5b77a88b56b89cb5bc2927967"></a><!-- doxytag: member="vetor.hpp::operator*" ref="afdd318c5b77a88b56b89cb5bc2927967" args="(vetor, vetor)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator* </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Retorna o produto vetorial entre dois vetores: \( a \times b \). </p>

<p>Definição na linha <a class="el" href="#L202">202</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a41dc5b5ce1ea1d4105a9ef5f22a64bd9"></a><!-- doxytag: member="vetor.hpp::operator*" ref="a41dc5b5ce1ea1d4105a9ef5f22a64bd9" args="(vetor, matriz)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator* </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classmatriz.html">matriz</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Retorna o produto entre um vetor e uma matriz: \( v M \). </p>

<p>Definição na linha <a class="el" href="#L220">220</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a9f97e45f1e8b21699425ff5024df468b"></a><!-- doxytag: member="vetor.hpp::operator*" ref="a9f97e45f1e8b21699425ff5024df468b" args="(matriz, vetor)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator* </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classmatriz.html">matriz</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Retorna o produto entre uma matriz e um vetor: \( M v \). </p>

<p>Definição na linha <a class="el" href="#L239">239</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a398a8c21fff93248b4692971003cde64"></a><!-- doxytag: member="vetor.hpp::operator+" ref="a398a8c21fff93248b4692971003cde64" args="(vetor, vetor)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator+ </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Retorna a soma entre dois vetores: \( a + b \). </p>

<p>Definição na linha <a class="el" href="#L147">147</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a64b4db35963e0531e6b208a4d9b52172"></a><!-- doxytag: member="vetor.hpp::operator&#45;" ref="a64b4db35963e0531e6b208a4d9b52172" args="(vetor, vetor)" -->
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      <table class="memname">
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> operator- </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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</div>
<div class="memdoc">

<p>Retorna a subtração entre dois vetores: \( a - b \). </p>

<p>Definição na linha <a class="el" href="#L167">167</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a17bb3c0e53dc4ed62d1db317daf5e6cb"></a><!-- doxytag: member="vetor.hpp::operator&lt;&lt;" ref="a17bb3c0e53dc4ed62d1db317daf5e6cb" args="(ostream &amp;, vetor)" -->
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          <td class="memname">ostream&amp; operator&lt;&lt; </td>
          <td>(</td>
          <td class="paramtype">ostream &amp;&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Imprime os elementos do vetor numa linha, utilizado apenas p/ saídas em arquivo. </p>

<p>Definição na linha <a class="el" href="#L258">258</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

</div>
</div>
<a class="anchor" id="a4d02f31155297e6536d2c2b76f2ee0e8"></a><!-- doxytag: member="vetor.hpp::operator^" ref="a4d02f31155297e6536d2c2b76f2ee0e8" args="(vetor, vetor)" -->
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          <td class="memname">double operator^ </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classvetor.html">vetor</a>&#160;</td>
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<div class="memdoc">

<p>Retorna o produto interno entre dois vetores: \( a \dot b \). </p>

<p>Definição na linha <a class="el" href="#L184">184</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

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<a class="anchor" id="aa7190823e6e669b2c27c9bf9765cec88"></a><!-- doxytag: member="vetor.hpp::zero" ref="aa7190823e6e669b2c27c9bf9765cec88" args="(int, bool)" -->
<div class="memitem">
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          <td class="memname"><a class="el" href="classvetor.html">vetor</a> <a class="el" href="vetor_8hpp.html#aa7190823e6e669b2c27c9bf9765cec88">zero</a> </td>
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<div class="memdoc">

<p>Retorna um vetor nulo de dimensão k: \( 0_k \). </p>

<p>Definição na linha <a class="el" href="#L123">123</a> do arquivo <a class="el" href="">vetor.cpp</a>.</p>

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